What is expand (y(y-e^x))/(e^x) ?

The solution to expand (y(y-e^x))/(e^x) is (y^2)/(e^x)-y

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expand (y(y-e^x))/(e^x)

expand

\frac{y ( y - e ^{x} )}{e ^{x}}

\frac{y ^{2}}{e ^{x}} - y

Solution steps

\frac{y ( y - e ^{x} )}{e ^{x}}

Expand

y (y - e^{x}) : y^{2} - e^{x} y

= \frac{y ^{2} - e ^{x} y}{e ^{x}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{y ^{2} - e ^{x} y}{e ^{x}} = \frac{y ^{2}}{e ^{x}} - \frac{e ^{x} y}{e ^{x}}

= \frac{y ^{2}}{e ^{x}} - \frac{e ^{x} y}{e ^{x}}

Cancel

\frac{e ^{x} y}{e ^{x}} : y

= \frac{y ^{2}}{e ^{x}} - y

(x + 7) 8^{^{'}}

(3, - 1) y (- 2, 4)

\frac{4 ( a + b )}{c}

e (1 - t) t^{4}

\frac{( 4 x - 8 ) ( x + 2 )}{( 4 - x )}

What is expand (y(y-e^x))/(e^x) ?
The solution to expand (y(y-e^x))/(e^x) is (y^2)/(e^x)-y